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Finding the Third Proportional to 305,263.13 and 448,748.44

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Solution

The third proportional to 305,263.13 and 448,748.44 is: 659,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,263.13 : 448,748.44 = 448,748.44 : x
  2. Step 2: Convert to fraction form
    305,263.13/448,748.44 = 448,748.44/x
  3. Step 3: Cross multiply
    305,263.13x = 448,748.44 × 448,748.44
  4. Step 4: Simplify right side
    305,263.13x = 201,375,160,158.69
  5. Step 5: Solve for x
    x = 201,375,160,158.69/305,263.13
  6. Step 6: Final answer
    x = 659,677.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.